Finding the Third Proportional to 31,966.50 and 50,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,966.50 : 50,146.50 = 50,146.50 : x
2. Step 2: Convert to fraction form
   31,966.50/50,146.50 = 50,146.50/x
3. Step 3: Cross multiply
   31,966.50x = 50,146.50 × 50,146.50
4. Step 4: Simplify right side
   31,966.50x = 2,514,671,462.25
5. Step 5: Solve for x
   x = 2,514,671,462.25/31,966.50
6. Step 6: Final answer
   x = 78,665.84